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CLARITree: Cholesky and Lookahead Accelerations for Regression with Interpretable Piecewise Linear Trees

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Regression trees are among the most interpretable yet expressive model classes in machine learning. Historically, greedy induction has been the dominant approach for constructing well-performing regression trees.

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arXiv Machine Learning
Sep 16

Learned Look-Ahead Splitting Rule for CART

The paper introduces a look‑ahead splitting rule for Classification and Regression Trees (CART) that evaluates candidate splits by the error reduction achieved after growing a conventional CART subtree beneath each split. To keep the method computationally feasible, a smart look‑ahead algorithm is proposed that learns downstream split values from node‑level features. Experiments on simulated data and two real datasets show that both full and smart look‑ahead methods outperform the standard greedy splitting strategy, especially in hierarchical or interaction‑driven scenarios.

By Andrew Gao, Tianlin Liu, Ruichen Han, Lu Tian